Solve the Fraction Addition: 4/10 + 5/12 Step-by-Step

Question

Solve the following equation:

410+512= \frac{4}{10}+\frac{5}{12}=

Video Solution

Step-by-Step Solution

Let's first identify the lowest common denominator between 10 and 12.

In order to determine the lowest common denominator, we need to find a number that is divisible by both 10 and 12.

In this case, the common denominator is 60.

We'll proceed to multiply each fraction by the appropriate number to reach the denominator 60.

We'll multiply the first fraction by 6

We'll multiply the second fraction by 5

4×610×6+5×512×5=2460+2560 \frac{4\times6}{10\times6}+\frac{5\times5}{12\times5}=\frac{24}{60}+\frac{25}{60}

Now let's add:

24+2560=4960 \frac{24+25}{60}=\frac{49}{60}

Answer

4960 \frac{49}{60}